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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 319264, 6 pages
http://dx.doi.org/10.1155/2014/319264
Research Article

Multiscale Probability Transformation of Basic Probability Assignment

Meizhu Li,1 Xi Lu,1,2 Qi Zhang,1 and Yong Deng1,3,4

1School of Computer and Information Science, Southwest University, Chongqing 400715, China
2School of Hanhong, Southwest University, Chongqing 400715, China
3School of Automation, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, China
4School of Engineering, Vanderbilt University, Nashville, TN 37235, USA

Received 16 June 2014; Accepted 2 October 2014; Published 20 October 2014

Academic Editor: Mohamed Abd El Aziz

Copyright © 2014 Meizhu Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Decision making is still an open issue in the application of Dempster-Shafer evidence theory. A lot of works have been presented for it. In the transferable belief model (TBM), pignistic probabilities based on the basic probability assignments are used for decision making. In this paper, multiscale probability transformation of basic probability assignment based on the belief function and the plausibility function is proposed, which is a generalization of the pignistic probability transformation. In the multiscale probability function, a factor q based on the Tsallis entropy is used to make the multiscale probabilities diversified. An example showing that the multiscale probability transformation is more reasonable in the decision making is given.